Question

In parallelogram WXYZ, ∠W and ∠X are adjacent. The measure of ∠X is three times the measure of ∠W. Which equation gives the exact measure of ∠W?

Answer 1

if the angles are adjacent, then the sum must be 180 degrees

W + X = 180 degrees

we know that the angle measure of is three time W

X = 3W

replace in a equation X with 3W

W + 3W = 180

4W = 180 / simplify with 4

W = 45 degrees

X = 3 multiply W = 135 degrees

X=135°

Answer 2

W+X=180
X=3W

W+3W=180
4W=180
W=45°
X=135°